Abstract：The general dynamical response expression of a point in the spatial object is expressed based on the Duhamel integral. In the expression，how to express the transfer function is a key issue when the dynamic point is located on different spaces. As for the subway with running train，firstly，a periodic Timoshenko beam supported with two layers of elastic-damp is adopted as the model of track structure，and the ballast load acting on the ballast surface is derived. Secondly，a space with a hole under inner moving load is adopted as the model of the subway. Using the finite element software ANSYS，the three-dimensional tunnel model is established；and the dynamic responses of the points on the ground surface due to a unit impulse load in the tunnel are computed. The impulse dynamic response function is fitted as the function as plane coordinate x，y and time t，and the corresponding transfer function is obtained through Fourier transform. Thus，the dynamic response of the ground surface due to metro trains is derived. Finally，the effects of track structural parameters on dynamic response of ground due to metro train are calculated and analyzed in time domain and frequency domain.
